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Energies 2019, 12(8), 1461; https://doi.org/10.3390/en12081461

Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model

1
Faculty of Pharmacy, University of Medicine and Pharmacy, 400012 Cluj-Napoca, Romania
2
Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
3
Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
4
Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
5
Department of Theoretical Mechanics, Tomsk State University, 634050 Tomsk, Russia
*
Author to whom correspondence should be addressed.
Received: 30 January 2019 / Revised: 15 April 2019 / Accepted: 15 April 2019 / Published: 17 April 2019
(This article belongs to the Special Issue Heat Transfer Enhancement)
PDF [943 KB, uploaded 17 April 2019]

Abstract

The present study develops the influence of inclined border temperature variations on the isotherms, streamlines, and isoconcentrations for unsteady free convection in a trapezoidal region filled with the water-based nanofluid. The considered mathematical nanofluid approach was formulated based on the Buongiorno’s model. The set of governing partial differential equations formulated using non-dimensional primitive variables such as velocity, pressure, temperature, and nanoparticles concentration volume fraction was solved numerically using the finite element method for various magnitudes of control characteristics. It was revealed that control characteristics affected the liquid circulation and energy transport coefficients. The Nusselt number is a growing function of wave number, amplitude, and the Rayleigh number.
Keywords: natural convection; nanofluids; non-uniform wall temperature; numerical results natural convection; nanofluids; non-uniform wall temperature; numerical results
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Revnic, C.; Ghalambaz, M.; Groşan, T.; Sheremet, M.; Pop, I. Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model. Energies 2019, 12, 1461.

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